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Newton’s & Coulombs Laws in Light of the Small Atomic Nucleus. AAPT Meeting Spring 2007 Rose-Hulman. J.O. Brooks, Ivy Tech. Topics Requiring Acceptance . 1. Electric and Gravitational Fields in atom are comparably nearly equal.
AAPT Meeting Spring 2007
These are Forces
Can one use 1836 as the central mass of the hydrogen atom ???
And you were informed that the value of k is one when the unit kilogram is used
This is the k Kg with k = 1 and
K remains 1 when the unit (em) is used
Given the Central Mass unit, the k value is one of that Unit
Kepler’s Law has no unit of Mass but the unit of mass in G requires a unit k………………..k is the unit of orbiting mass
This is a format of one wave equation developed by d’Alembert & Euler in 1760 from a consideration of the Lagrangian.
The Radical is Unity
Divide both Sides by unit mass squared and the resultant expression has the units of G, Newton’s Universal Gravitational Constant
One Circumferential orbit in time traverses 4 Radii
Conclusion: Never a Mismatch
Units Certainly Agree
Rydberg Version of the Unified Field
We can now add relative permittivity which when identified with the Poisson accomplishes the equality.
How we were rid of that pesky coulomb
It was necessary to divide by the unit kilogram squared to achieve the units equivalent to G
Applies to the entire table
To Complete the Field a Radial solution is Needed
I derived this radial solution in the nineteen sixties
Is set equal to unity
Setting N = 40.54189 for hydrogen gives R = .529 Å for n = 1. The radial values shown are iterated for f thus finding R for n = 1, 2, 3 …
Above Values for n= 1,2 ….10 are Plotted in the Next Slide on Radial Distribution
N, the Principle Attribute, is Periodic with Atomic Number
= 9 N2 -271 N + 588
Sum Shell Radii
Using Parametric Equations of Radius
Base frequency is fixed by N and outer orbital frequencies are iterated to conform to spectra
The Atomic Case without Radii
Planet Perihelion Mean Aphelion
The sun has a charge of
1.9 x 1038
Charge to mass ratio of the sun is (-) 9.8 x 107
Planets charge to mass ratio is (+) 7.7 x 1029
Planets test charge to mass ratio (-)9.4 x 107
The Poisson has the same form of the Polynomial form of a wave equation derived by d’Alembert and Euler in 1700’s from a consideration of the Lagrangian
– Encyclopedia Mathematiics
This is applicable to any Atom at any orbital provided the underlying orbital is taken as a point and the radius in question is to be added to the previous radius
N ValuesAlpha Values
Radii per electron per orbital Radii of entire orbital